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Description

Classical and modern theories have given us a degree of noise immunity by defining the sufficient statistic of the mean of the likelihood function. The generalized theory moves beyond these limitations to determine the jointly sufficient statistics of the mean and variance of the likelihood function.

Signal and Image Processing in Navigational Systems introduces us to the generalized approach, and then delves rigorously into the theory and practical applications of this approach. This volume represents the most in-depth discussion of the generalized approach to date, providing many examples and computer models to demonstrate how this approach raises the upper limits of noise immunity for navigation systems, leading to better detection performances.

This book is vital for signal and image processing experts, radar, communications, acoustics, and navigational systems designers, as well as professionals in the fields of statistical pattern recognition, biomedicine, astronomy, and robotics who wish to extend the boundaries of noise immunity and improve qualitative performance of their systems.

Contents

Preface

About the Author

Introduction

THEORY OF FLUCTUATING TARGET RETURN SIGNALS IN NAVIGATIONAL SYSTEMS

Probability Distribution Density of the Amplitude and Phase of the Target Return Signal

Two-Dimensional Probability Distribution Density of the Amplitude and Phase

Probability Distribution Density of the Amplitude

Probability Distribution Density of the Phase

Probability Distribution Density Parameters of the Target Return Signal as a Function of the Distribution Law of the Amplitude and Phase of Elementary Signals

Conclusions

References

Correlation Function of Target Return Signal Fluctuations

Target Return Signal Fluctuations

The Correlation Function and Power Spectral Density of the Target Return Signal

The Correlation Function with the Searching Signal of Arbitrary Shape

The Correlation Function under Scanning of the Three-Dimensional (Space) Target

The Correlation Function in Angle Scanning of the Two-Dimensional (Surface) Target

The Correlation Function under Vertical Scanning of the Two-Dimensional (Surface) Target

Conclusions

References

Fluctuations Under Scanning of the Three-Dimensional (Space) Target with the Moving Radar

Slow and Rapid Fluctuations

The Doppler Fluctuations of a High-Deflected Radar Antenna

The Doppler Fluctuations in the Arbitrarily Deflected Radar Antenna

The Total Power Spectral Density with the Pulsed Searching Signal

Conclusions

References

Fluctuations Under Scanning of the Two-Dimensional (Surface) Target by the Moving Radar

General Statements

The Continuous Searching Nonmodulated Signal

The Pulsed Searching Signal with Stationary Radar

The Pulsed Searching Signal with the Moving Radar: The Aspect Angle Correlation Function

The Pulsed Searching Signal with the Moving Radar: The Azimuth Correlation Function

The Pulsed Searching Signal with the Moving Radar: The Total Correlation Function and Power Spectral Density of the Target Return Signal Fluctuations